27802954781568 has 384 divisors, whose sum is σ = 83450006640000. Its totient is φ = 9214091200512.

The previous prime is 27802954781549. The next prime is 27802954781603. The reversal of 27802954781568 is 86518745920872.

27802954781568 is a `hidden beast` number, since 2 + 7 + 8 + 0 + 2 + 9 + 54 + 7 + 8 + 1 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 27802954781496 and 27802954781505.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4000997358 + ... + 4001004306.

It is an arithmetic number, because the mean of its divisors is an integer number (217317725625).

Almost surely, 2^{27802954781568} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27802954781568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41725003320000).

27802954781568 is an abundant number, since it is smaller than the sum of its proper divisors (55647051858432).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

27802954781568 is an equidigital number, since it uses as much as digits as its factorization.

27802954781568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7704 (or 7680 counting only the distinct ones).

The product of its (nonzero) digits is 541900800, while the sum is 72.

The spelling of 27802954781568 in words is "twenty-seven trillion, eight hundred two billion, nine hundred fifty-four million, seven hundred eighty-one thousand, five hundred sixty-eight".